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Dynamical Systems and Differential Equations
2015In this chapter, we review some basic topics in the theory of ordinary differential equations from the viewpoints of the global geometrical approach which is a base to develop the energy flow analysis for NDS. In the first two sections the review of basic theory for dynamical systems and differential equations is rapid.
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2009
This book aims to present a new approach called Flow Curvature Method that applies Differential Geometry to Dynamical Systems. Hence, for a trajectory curve, an integral of any n-dimensional dynamical system as a curve in Euclidean n-space, the curvature of the trajectory — or the flow — may be analytically computed.
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This book aims to present a new approach called Flow Curvature Method that applies Differential Geometry to Dynamical Systems. Hence, for a trajectory curve, an integral of any n-dimensional dynamical system as a curve in Euclidean n-space, the curvature of the trajectory — or the flow — may be analytically computed.
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Differential Forms and Dynamical Systems
2007One of the modern geometric views of dynamical systems is as vector fields on a manifold, with or without boundary. The starting point of this paper is the observation that, since one-forms are the natural expression of linear functionals on the space of vector fields, the interaction between the two makes some aspects of the study of equilibria and ...
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Differential Equations and Dynamical Systems
Mathematics of Computation, 1968E. I., Jack K. Hale, Joseph P. LaSalle
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Entropy, Lyapunov exponents, and Hausdorff dimension in differentiable dynamical systems
IEEE Transactions on Circuits and Systems, 1983Lai-Sang Young
exaly
Dimension, entropy and Lyapunov exponents in differentiable dynamical systems
Physica A: Statistical Mechanics and Its Applications, 1984Lai-Sang Young
exaly
System dynamics and differential equations
2004David Burghes, Alexander Graham
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